TY - BOOK AU - Jurdjevic,V. TI - Integrable Hamiltonian Systems on Complex Lie Groups T2 - Memoirs of the American Mathematical Society SN - 9781470404390 AV - QA614.83 -- .J87 2005eb U1 - 510 s;512/.482 PY - 2005/// CY - Providence PB - American Mathematical Society KW - Hamiltonian systems KW - Lie groups KW - Manifolds (Mathematics) KW - Electronic books N1 - Intro -- Contents -- Chapter 1. Introduction -- Chapter 2. Cartan decomposition and the Generalized elastic problems -- Chapter 3. The Maximum Principle and the Hamiltonians -- Chapter 4. The left-invariant symplectic form -- Chapter 5. Symmetries and the conservation laws -- Part 2. Complex Lie groups and complex Hamiltonians -- Chapter 6. Complexified elastic problems -- Chapter 7. Complex elasticae of Euler and its n-dimensional extensions -- Chapter 8. Cartan algebras, root spaces and extra integrals of motion -- Chapter 9. Elastic Curves for the case of Lagrange -- Chapter 10. Elastic Curves for the case of Kowalewski -- Bibliography UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114081 ER -